报告题目:Riesz transform on some conformally flat spaces

报告人：赵世良博士

报告时间：10：30--11：15

报告地点：理学楼教师活动中心

Title: Riesz transform on some conformally flat spaces

Time and location：9月13日 10：30--11：15 理学楼教师活动中心

Let M be a conformally flat space and set L to be the principle part of the Laplace-Beltrami operator. In this paper, we investigate the Lp boundedness of the Riesz transform   associated with the semigroup generated by L on L2(Rn). Moreover, we consider some special cases and  establish the sufficient and necessary conditions for the Lp boundedness of Riesz transform. In particular, in some cases we can show the Riesz transform is Lp bounded for 1<p while the Ricci curvature is unbounded from below.

赵世良博士，2016年博士毕业于复旦大学，现在四川大学工作